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ARITHMETIC PROGRESSIONS AND

ARITHMETIC PROGRESSIONS AND CO-ORDINATE GEOMETRY Time: 1 hour Maximum Marks: 38 General instructions: (i)  All the questions are compulsory. (ii)  The question paper consists of 18 questions. Question number 1–10 are of 1 mark each, question number 11–12 are of 2 marks each, question number 13–16 are of 3 marks each, question number  17–18 are of 6 marks each. (iii)  Internal choices have been provided in 2 marks, 3 marks and 6 marks questions. You have to attempt one of the choices in such questions. (iv)  Write down the serial number before attempting the question. (v)  Use of calculators is not permitted. 1.  Determine whether the following sequence is an A.P. or not. 19, 32, 46, 59, …. 2.  Find the number of terms of the A.P whose first term is 9, common difference is 7 and the last term is 114. 3.  Find the mid point of the line segment joining the points (–3, 7) and (5, 6). 4.  Find the common difference and the next term of the A.P. 13, 9, 5, 1, –3, –7,….. 5.  Find the distance